WorksheetsDAY 29 WORKSHEET KWA (Geometry and Surface Development)
Total questions: 15
Worksheet time: 11mins
When two solids such as a cone and a cylinder penetrate obliquely, the resulting curve of intersection is —
Circular
Symmetrical curve
Asymmetrical and irregular
Parabolic
Which of the following solids cannot be developed on a plane surface without distortion?
Cone
Cylinder
Sphere
Prism
In the development of an oblique cone, the shape obtained is —
Circle
Rectangle
Elliptical arc-shaped sector
Semicircle
The stretch-out length in the development of a cone equals —
Height of cone
Diameter of base
Circumference of base
Slant height
In the intersection of two cylinders at right angles, the curve obtained on the surface of each cylinder consists of —
Straight line
Two symmetrical curves
Single circle
Elliptical ring
True or false
A ruled surface can always be developed into a plane surface without stretching (a)
True or false
When a pyramid penetrates a cylinder, the intersection curve consists solely of straight lines (a)
Assertion (A): The intersection of two planes always results in a straight line. Reason (R): Every point on the intersection line satisfies both plane equations simultaneously.
Both A and R are true, and R correctly explains A
Both A and R are true, but R does not explain A
A is true, but R is false
A is false, but R is true
A ruled surface is generated by the motion of a (a) line.
The generatrix in surface geometry refers to a line that (a) .
The sector angle (θ) in the development of a cone = (a) × (radius of base / slant height).
The line joining key points on an interpenetration curve is known as the (a) .
When a pyramid penetrates a cylinder, the intersection curve includes ________ and ________ lines.
(a)
Types of Surfaces
A. Ruled surface→1. No two adjacent generators lie in same plane
B. Single-curved surface→2. Formed by revolving a curve around an axis
C. Double-curved surface→3. Can be rolled or developed into a plane surface
D. Warped surface→4. Generated by the motion of a straight line
A–4, B–2, C–3, D–1
A–3, B–4, C–2, D–1
A–4, B–3, C–2, D–1
A–4, B–2, C–3, D–1
Solids & Their Intersections
A. Cone & cylinder (oblique penetration)→1. Produces two symmetrical curves on each surface
B. Prism & prism (intersection of edges)→2. Combination of straight and curved lines
C. Cylinders at right angles→3. Straight-line intersection only
D. Pyramid & cylinder→4. Asymmetrical and irregular curve
A–3, B–4, C–1, D–2
A–4, B–1, C–3, D–2
A–4, B–3, C–2, D–1
A–4, B–3, C–1, D–2
